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Finding the Fourth Proportional to 1,667.07, 2,300.54 and 921.11

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Solution

The fourth proportional to 1,667.07, 2,300.54 and 921.11 is: 1,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.07 : 2,300.54 = 921.11 : x
  2. Step 2: Convert to fraction form
    1,667.07/2,300.54 = 921.11/x
  3. Step 3: Cross multiply
    1,667.07x = 2,300.54 × 921.11
  4. Step 4: Simplify right side
    1,667.07x = 2,119,034.29
  5. Step 5: Solve for x
    x = 2,119,034.29/1,667.07
  6. Step 6: Final answer
    x = 1,271.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.